Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page 41
... difference between two numbers is called SUBTRACTION . The difference , or the answer to the question , is called the Remainder . OBS . 1. The number to be subtracted is sometimes called the subtrahend , and the number from which it is ...
... difference between two numbers is called SUBTRACTION . The difference , or the answer to the question , is called the Remainder . OBS . 1. The number to be subtracted is sometimes called the subtrahend , and the number from which it is ...
Page 42
... difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 units from 4 units , for 6 is larger than 4 . To obviate this difficulty , we may take 1 ten from the 9 tens ...
... difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 units from 4 units , for 6 is larger than 4 . To obviate this difficulty , we may take 1 ten from the 9 tens ...
Page 43
... difference between the two given numbers ; for , it is simply transposing a part of one order to another order in the same number , which , it is obvious , will neither increase nor diminish its value . 3. It may be asked , how can we ...
... difference between the two given numbers ; for , it is simply transposing a part of one order to another order in the same number , which , it is obvious , will neither increase nor diminish its value . 3. It may be asked , how can we ...
Page 44
... difference between two numbers being added to the less , the sum must be equal to the greater . For , the difference and the less number are the two parts into which the greater is separated , and the whole of a quantity is equal to the ...
... difference between two numbers being added to the less , the sum must be equal to the greater . For , the difference and the less number are the two parts into which the greater is separated , and the whole of a quantity is equal to the ...
Page 51
... difference with the result , which of the given numbers is taken for the multiplier ? Obs . Which is usually taken ? Why ? 84. The principle of carrying the tens in multiplication is 3 ART . 83. ] 51 MULTIPLICATION .
... difference with the result , which of the given numbers is taken for the multiplier ? Obs . Which is usually taken ? Why ? 84. The principle of carrying the tens in multiplication is 3 ART . 83. ] 51 MULTIPLICATION .
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Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.